Rule;Any Pokémon that faints is considered dead, and must be released (or boxed, never to see the light of day again).
You may only catch the first Pokémon encountered in each area, and none else. If the first Pokémon encountered faints or flees, there are no second chances. (Can be adjusted to ban duplicate captures.)
You must nickname all of your Pokemon. (highly recommended)
A black out/white is a "game over," even if there are Pokémon left in the PC.